LCM of 632, 632, 642, 136, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 632, 642, 136, 680 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 632, 632, 642, 136, 680. So, keep reading to learn more.
Given numbers are 632,632,642,136,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,632,642,136,680 is 17244120.
Find LCM of 632,632,642,136,680 with Prime Factorization
| 2 | 632, 632, 642, 136, 680 |
| 2 | 316, 316, 321, 68, 340 |
| 2 | 158, 158, 321, 34, 170 |
| 17 | 79, 79, 321, 17, 85 |
| 79 | 79, 79, 321, 1, 5 |
| 1, 1, 321, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 79 x 1 x 1 x 321 x 1 x 5 = 17244120
Therefore, the lowest common multiple of 632,632,642,136,680 is 17244120.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
632 x 632 x 642 x 136 x 680 = 23714665635840
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
632 : 1, 2, 4, 8, 79, 158, 316, 632
632 : 1, 2, 4, 8, 79, 158, 316, 632
642 : 1, 2, 3, 6, 107, 214, 321, 642
136 : 1, 2, 4, 8, 17, 34, 68, 136
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,632,642,136,680, is 2.
Now, the common factors can be found like this.
632:2x 2x 2x 79
632:2x 2x 2x 79
642:2x 3x 107
136:2x 2x 2x 17
680:2x 2x 2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 17x 79 = 687616
Therefore, the value for common factors is 687616.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23714665635840/(2x687616)
LCM = 23714665635840/1375232
LCM = 17244120
Thus, we can understand that the LCM of 632,632,642,136,680 is 17244120.
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FAQs on LCM of 632, 632, 642, 136, 680
1. What is the LCM of 632, 632, 642, 136, 680?
Answer: LCM of 632, 632, 642, 136, 680 is 17244120.
2. How to calculate the LCM of 632, 632, 642, 136, 680?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 632, 632, 642, 136, 680.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.